In one restaurant, the round table can seat 7 people and the oval table can seat 5 people. During meal time, all the tables in the restaurant were occupied. The number of each type of tables in the restaurant is more than 7 and less than 14. If there were 127 people, find
(a) the number of oval tables
(b) the number of round tables
Oval tables |
Number of people around oval tables |
Round tables |
Number of people around round tables |
Total number of people |
8 |
8 x 5 = 40 |
8 |
8 x 7 = 56 |
40 + 56 = 96 (x) |
9 |
9 x 5 = 45 |
10 |
10 x 7 = 70 |
45 + 70 = 115 (x) |
10 |
10 x 5 = 50 |
11 |
11 x 7 = 77 |
50 + 77 = 127 (✓) |
(a)
Number of oval tables = 10
(b)
Number of round tables = 11
Answer(s): (a) 10; (b) 11